What is the integral of 11x^{-6} ?

The integral of 11x^{-6} is -(11)/(5x^5)+C

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integral of 11x^{-6}

\int 11 x^{- 6} d x

- \frac{11}{5 x ^{5}} + C

Solution steps

\int 11 x^{- 6} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 11 \cdot \int x^{- 6} d x

Apply the Power Rule

: - \frac{1}{5 x ^{5}}

= 11 (- \frac{1}{5 x ^{5}})

Simplify

11 (- \frac{1}{5 x ^{5}}) : - \frac{11}{5 x ^{5}}

= - \frac{11}{5 x ^{5}}

Add a constant to the solution

= - \frac{11}{5 x ^{5}} + C

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